Highest Common Factor of 9317, 7683, 31881 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9317, 7683, 31881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9317, 7683, 31881 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 9317, 7683, 31881 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 9317, 7683, 31881 is 1.

HCF(9317, 7683, 31881) = 1

HCF of 9317, 7683, 31881 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 9317, 7683, 31881 is 1.

Highest Common Factor of 9317,7683,31881 using Euclid's algorithm

Highest Common Factor of 9317,7683,31881 is 1

Step 1: Since 9317 > 7683, we apply the division lemma to 9317 and 7683, to get

9317 = 7683 x 1 + 1634

Step 2: Since the reminder 7683 ≠ 0, we apply division lemma to 1634 and 7683, to get

7683 = 1634 x 4 + 1147

Step 3: We consider the new divisor 1634 and the new remainder 1147, and apply the division lemma to get

1634 = 1147 x 1 + 487

We consider the new divisor 1147 and the new remainder 487,and apply the division lemma to get

1147 = 487 x 2 + 173

We consider the new divisor 487 and the new remainder 173,and apply the division lemma to get

487 = 173 x 2 + 141

We consider the new divisor 173 and the new remainder 141,and apply the division lemma to get

173 = 141 x 1 + 32

We consider the new divisor 141 and the new remainder 32,and apply the division lemma to get

141 = 32 x 4 + 13

We consider the new divisor 32 and the new remainder 13,and apply the division lemma to get

32 = 13 x 2 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9317 and 7683 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(32,13) = HCF(141,32) = HCF(173,141) = HCF(487,173) = HCF(1147,487) = HCF(1634,1147) = HCF(7683,1634) = HCF(9317,7683) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 31881 > 1, we apply the division lemma to 31881 and 1, to get

31881 = 1 x 31881 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31881 is 1

Notice that 1 = HCF(31881,1) .

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Frequently Asked Questions on HCF of 9317, 7683, 31881 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 9317, 7683, 31881?

Answer: HCF of 9317, 7683, 31881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9317, 7683, 31881 using Euclid's Algorithm?

Answer: For arbitrary numbers 9317, 7683, 31881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.